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Tolerance is one of the important factors that cannot be ignored in modern manufacturing process, it not only affects the machining accuracy and production quality of parts, but also has a vital significance in process route, testing, manufacturing costs, assembly of final products, etc. In this paper, the tolerance mathematical modeling and analysis method based on control points of geometric elements are proposed, in which the geometric tolerance is indicated according to the position variation of control points. The first step is to define the inherent direction of geometric elements. The inherent direction of point is the same with the one of the benchmark points, and the inherent direction of linear is the linear itself while the inherent direction of plane is the one of the normal directions. The second step is to establish the tolerances coordinate system according to the inherent direction of geometric elements, then defining and classifying the degrees of freedom of geometric elements, ta...

Tolerance Mathematical Modeling and Analysis Method Based On Control Points of Geometric Elements